LQG/H_∞鲁棒控制设计

LQG/H∞ROBUST CONTROL DESIGN

本文考虑一种带H_∞约束的LQG鲁棒控制系统设计问题(LQG/H_∞设计)。首先,对鲁棒稳定性进行了分析,引出了LQG/H_∞鲁棒控制问题的描述;其次,根据约束最优化问题求解的Lagrange法,给出LQG/H_∞鲁棒控制问题的解析结构;最后,给出了算法和算例。

An LQG/H∞ robust control system design problem is considered. We first analyze the problem of robust stability for linear time-invariant control systems and yields the define of LQG/H∞ robust control problem. Then, an LQG/H∞, robust control system design methodology is givern that based on LQG/H∞ think. Last, an algorithm is developed for the robust controller design and an illustrative numerical example is given.